What is the Greatest Common Factor of 25641 and 25647?

Greatest common factor (GCF) of 25641 and 25647 is 3.

GCF(25641,25647) = 3

We will now calculate the prime factors of 25641 and 25647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25641 and 25647.

How to find the GCF of 25641 and 25647?

We will first find the prime factorization of 25641 and 25647. After we will calculate the factors of 25641 and 25647 and find the biggest common factor number .

Step-1: Prime Factorization of 25641

Prime factors of 25641 are 3, 7, 11, 37. Prime factorization of 25641 in exponential form is:

25641 = 3² × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 25647

Prime factors of 25647 are 3, 83, 103. Prime factorization of 25647 in exponential form is:

25647 = 3¹ × 83¹ × 103¹

Step-3: Factors of 25641

List of positive integer factors of 25641 that divides 25641 without a remainder.

1, 3, 7, 9, 11, 21, 33, 37, 63, 77, 99, 111, 231, 259, 333, 407, 693, 777, 1221, 2331, 2849, 3663, 8547

Step-4: Factors of 25647

List of positive integer factors of 25647 that divides 25641 without a remainder.

1, 3, 83, 103, 249, 309, 8549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25641 and 25647. The biggest common factor number is the GCF number.
So the greatest common factor 25641 and 25647 is 3.

Also check out the Least Common Multiple of 25641 and 25647